The Purpose of This Study Is to Present the I-Function of R-Variables, a Natural Extension of The
Popular, Intriguing, and Practical Fox H-Function. the Results Are Quite Generalized When R=1, at Which Point
We Get the I-Function. Second, We Showed That an Integral Is Formed By Multiplying the I-Function of a Single
Variable By the Bessel Function and the General Polynomial Class. a Two-Variable I-Function May Be Obtained
By Evaluating the Sine Transform of the Product of the Hermite Polynomial and Fox's H-Function, and Its
Special Case, the Cosine Transform of the Product of the Legendre Polynomial and Fox's H-Function. We
Have Also Provided Exceptional Examples, Basic Features, and Circumstances Under Which Convergence
Occurs. Results For H-Functions In R Variables Are Generalized In This Study.